Sampling in the Euclidean Motion Group and a Problem from Brain's Primary Visual Cortex
Abstract
We study a sampling problem for the abstract wavelet transform associated with the quasiregular representation of the $SE(2)$ group, for a modulated gaussian mother wavelet. This problem is motivated by the behavior of brain's primary visual cortex. We provide a characterization in terms of a dual Gramian matrix, and study numerically the relationships among the parameters defining the sampling and the mother wavelet.
Fields of Study & Subjects
Mathematical Analysis and Transform Methods
Sparse and Compressive Sensing Techniques
Numerical methods in inverse problems
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 24 January 2026
- Document type
- Preprint